BOOK

Elementary Differential Geometry

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This classic textbook provides an elementary account of the geometry of curves and surfaces, specifically designed for students with a background in standard calculus and linear algebra. It is renowned for introducing the method of moving frames (frame fields) to study curves in space—an efficient technique that O'Neill extends to the study of surfaces. The text meticulously defines what a surface is, developing a differential and integral calculus specifically for them, and culminates in foundational topics like shape operators, Riemannian geometry, and the Gauss-Bonnet theorem. It remains a valuable reference for its clear, modern approach and its ability to bridge the gap between elementary and advanced geometric study.

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Detail Information

Series Title

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Call Number

516.36 O58

Publisher

: Academic Press., 1966

Collation

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Language

English

ISBN/ISSN

0125267509

Classification

516.36

Content Type

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Media Type

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Carrier Type

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Edition

1st

Subject(s)

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Specific Detail Info

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Statement of Responsibility

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